What is the direction of the net magnetic field at the point?

I'll describe the figure here:

Imagine a cartesian plane.
At (0,y) is a wire carrying a current out of the screen.

At (0, -y)is a wire carrying identical current out of the screen.

At (x, 0) is a point -- so the point is equidistant from the two wires.

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I'm confused because if I put my right thumb in direction of the current, and fingers curl in direction of the field, the field is a counterclockwise circle around each wire. But how do I know what is the field at the dot? I feel like it can be either up + up = up, or left + right = 0. But I can't tell which?

There is also an option for not enough information.

never mind I got it, I used a compass to figure out the point on the circle to figure out direction

:)

Only the B-field components in the y direction will be additive. The x components will cancel at any (x,0)because of symmetry considerations.

Because of the right-hand rule, the field direction will be +y for x>0 and -y for x<0 (unless I got my hand rules mixed up.)

To determine the direction of the net magnetic field at the given point, you can apply the right-hand rule for determining the magnetic field around a current-carrying wire. However, if you are unable to determine the net magnetic field direction solely from the given information, it is likely due to missing or insufficient details.

According to the right-hand rule, when you point your right thumb in the direction of the current, your fingers curl in the direction of the magnetic field. When considering each wire individually, you correctly determined that the magnetic field around each wire forms a counterclockwise circle.

Now, let's analyze the magnetic fields produced by each wire separately and determine their direction at the given point:

1. The wire at (0, y): At the given point, the magnetic field produced by this wire will be directed towards the left (horizontal direction).

2. The wire at (0, -y): At the given point, the magnetic field produced by this wire will be directed towards the right (horizontal direction).

Since the two wires are equidistant from the point on the x-axis, their magnetic fields will have the same magnitude. However, their directions cancel each other out due to their opposite orientations. Therefore, the net magnetic field at the point will be zero.

In summary, at the given point (x, 0), the net magnetic field will be zero because the magnetic fields produced by the two wires cancel each other out.